Finding the Third Proportional to 214,816 and 315,648

Step by Step Solution

1. Step 1: Write the proportion equation
   214,816 : 315,648 = 315,648 : x
2. Step 2: Convert to fraction form
   214,816/315,648 = 315,648/x
3. Step 3: Cross multiply
   214,816x = 315,648 × 315,648
4. Step 4: Simplify right side
   214,816x = 99,633,659,904
5. Step 5: Solve for x
   x = 99,633,659,904/214,816
6. Step 6: Final answer
   x = 463,809.31